Use a graphing device as in Example 4 (or Newtons method or solve numerically using a calculator
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Use a graphing device as in Example 4 (or Newton’s method or solve numerically using a calculator or computer) to find the critical points of f correct to three decimal places. Then classify the critical points and find the highest or lowest points on the graph, if any.
f(x, y) = x4 + y3 - 3x2 + y2 + x - 2y - 1
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x y x y 3x y x2y1 fxx y 4x 6x 1 and fy x y 3y 2y 2 From the graphs we see that to three ...View the full answer
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